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Finding the Third Proportional to 364,872 and 801,672

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Solution

The third proportional to 364,872 and 801,672 is: 1,761,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,872 : 801,672 = 801,672 : x
  2. Step 2: Convert to fraction form
    364,872/801,672 = 801,672/x
  3. Step 3: Cross multiply
    364,872x = 801,672 × 801,672
  4. Step 4: Simplify right side
    364,872x = 642,677,995,584
  5. Step 5: Solve for x
    x = 642,677,995,584/364,872
  6. Step 6: Final answer
    x = 1,761,379.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.